This method allows us to differentiate very complicated fractional functions or functions raised to the power of another function easily.

Before starting examples, you need to know the derivative formulas as shown. In many cases, we need to make use of the properties of logarithm as well. Please remember that if you see “ln” symbol, it is called natural log and it has the base “e”. If you see “log”, it has the base 10.

Draw a picture of the scenario, if you can. Step(1) Formulate the objective function. Step(2) Reduce the objective function to One variable. Step(3) Take the derivative of the function and find the critical value(s). Step(4) Find the local max or min by either First derivative (for rational fractions ) or Second derivative test...